GCD of 770, 320, 289 Calculator

Given Input numbers are 770, 320, 289

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 770

List of positive integer divisors of 770 that divides 770 without a remainder.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 770, 320, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 320, 289 is 1.

Therefore, GCD of numbers 770, 320, 289 is 1

Given Input Data is 770, 320, 289

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 770 is 2 x 5 x 7 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 289 is 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(770, 320) = 24640

GCD(770, 320) = ( 770 x 320 ) / 24640

GCD(770, 320) = 246400 / 24640

GCD(770, 320) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 289

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 289) = 2890

GCD(10, 289) = ( 10 x 289 ) / 2890

GCD(10, 289) = 2890 / 2890

GCD(10, 289) = 1

GCD of 770, 320, 289 is 1

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• GCD of 460, 629, 195
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1. What is the GCD of 770, 320, 289?

GCD of 770, 320, 289 is 1

2. Where do I get the detailed procedure to find GCD of 770, 320, 289?

You can find a detailed procedure to find GCD of 770, 320, 289 on our page.

3. How to find GCD of 770, 320, 289 on a calculator?

You can find the GCD of 770, 320, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.